TSTP Solution File: GRP586-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP586-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 12:27:01 EDT 2022
% Result : Unsatisfiable 0.62s 1.01s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP586-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 23:38:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.62/1.01 ********************************************************************************
% 0.62/1.01 * W A L D M E I S T E R \| \ / \|/ *
% 0.62/1.01 * |/ | \/ | *
% 0.62/1.01 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.62/1.01 * A. Jaeger and B. Loechner | | *
% 0.62/1.01 * <waldmeister@informatik.uni-kl.de> | *
% 0.62/1.01 ********************************************************************************
% 0.62/1.01
% 0.62/1.01
% 0.62/1.01 Goals:
% 0.62/1.01 ------
% 0.62/1.01
% 0.62/1.01 ( 1) multiply(multiply(inverse(b2),b2),a2) ?=? a2
% 0.62/1.01
% 0.62/1.01 Detected structure: Orkus
% 0.62/1.01 ********************************************************************************
% 0.62/1.01 ****************************** COMPLETION - PROOF ******************************
% 0.62/1.01 ********************************************************************************
% 0.62/1.01
% 0.62/1.01 joined goal: 1 multiply(multiply(inverse(b2),b2),a2) ?= a2 to a2
% 0.62/1.01 goal joined
% 0.62/1.01 % SZS status Unsatisfiable
% 0.62/1.01 #START OF PROOF
% 0.62/1.01 % SZS output start CNFRefutation
% 0.62/1.01 cnf('0.1.0.0',axiom,
% 0.62/1.01 ( X1 = double_divide(X2,inverse(double_divide(inverse(double_divide(double_divide(X2,X3),inverse(X1))),X3))) ),
% 0.62/1.01 file('/tmp/WALDMEISTER_28231_n028')).
% 0.62/1.01 cnf('0.1.1.0',plain,
% 0.62/1.01 ( X1 = double_divide(X2,inverse(double_divide(inverse(double_divide(double_divide(X2,X3),inverse(X1))),X3))) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.62/1.01 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.62/1.01 cnf('0.1.2.0',plain,
% 0.62/1.01 ( double_divide(X1,inverse(double_divide(inverse(double_divide(double_divide(X1,X2),inverse(X3))),X2))) = X3 ),
% 0.62/1.01 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_1]).
% 0.62/1.01 cnf('0.2.0.0',axiom,
% 0.62/1.01 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.62/1.01 file('/tmp/WALDMEISTER_28231_n028')).
% 0.62/1.01 cnf('0.2.1.0',plain,
% 0.62/1.01 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.62/1.01 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.62/1.01 cnf('0.2.2.0',plain,
% 0.62/1.01 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.62/1.01 [u,rule_2]).
% 0.62/1.01 cnf('0.3.0.0',plain,
% 0.62/1.01 ( double_divide(X1,inverse(double_divide(inverse(double_divide(double_divide(X1,X2),inverse(X3))),X2))) = X3 ),
% 0.62/1.01 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.62/1.01 cnf('0.3.0.1',plain,
% 0.62/1.01 ( double_divide(X1,multiply(X2,inverse(double_divide(double_divide(X1,X2),inverse(X3))))) = X3 ),
% 0.62/1.01 inference(reduction,[status(thm)],['0.3.0.0','0.2.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.2','L')]).
% 0.62/1.01 cnf('0.3.0.2',plain,
% 0.62/1.01 ( double_divide(X1,multiply(X2,multiply(inverse(X3),double_divide(X1,X2)))) = X3 ),
% 0.62/1.01 inference(reduction,[status(thm)],['0.3.0.1','0.2.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.2.2','L')]).
% 0.62/1.01 cnf('0.3.1.0',plain,
% 0.62/1.01 ( double_divide(X1,multiply(X2,multiply(inverse(X3),double_divide(X1,X2)))) = X3 ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.3.0.2']),
% 0.62/1.01 [weight('<131,1,2,[0,0,0,0]>')]).
% 0.62/1.01 cnf('0.3.2.0',plain,
% 0.62/1.01 ( double_divide(X1,multiply(X2,multiply(inverse(X3),double_divide(X1,X2)))) = X3 ),
% 0.62/1.01 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.62/1.01 [u,rule_3]).
% 0.62/1.01 cnf('0.4.0.0',plain,
% 0.62/1.01 ( multiply(multiply(X1,multiply(inverse(X2),double_divide(X3,X1))),X3) = inverse(X2) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.2.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1','L')]).
% 0.62/1.01 cnf('0.4.1.0',plain,
% 0.62/1.01 ( multiply(multiply(X1,multiply(inverse(X2),double_divide(X3,X1))),X3) = inverse(X2) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.62/1.01 [weight('<142,3,2,[0,0,0,1]>')]).
% 0.62/1.01 cnf('0.4.2.0',plain,
% 0.62/1.01 ( multiply(multiply(X1,multiply(inverse(X2),double_divide(X3,X1))),X3) = inverse(X2) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.62/1.01 [u,rule_4]).
% 0.62/1.01 cnf('0.5.0.0',plain,
% 0.62/1.01 ( double_divide(X1,X2) = double_divide(X3,multiply(X4,multiply(multiply(X2,X1),double_divide(X3,X4)))) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.2.2.1','L')]).
% 0.62/1.01 cnf('0.5.1.0',plain,
% 0.62/1.01 ( double_divide(X1,X2) = double_divide(X3,multiply(X4,multiply(multiply(X2,X1),double_divide(X3,X4)))) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.62/1.01 [weight('<179,3,2,[1,0,0,5]>')]).
% 0.62/1.01 cnf('0.5.2.0',plain,
% 0.62/1.01 ( double_divide(X1,multiply(X2,multiply(multiply(X3,X4),double_divide(X1,X2)))) = double_divide(X4,X3) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_5]).
% 0.62/1.01 cnf('0.6.0.0',plain,
% 0.62/1.01 ( inverse(double_divide(X1,X2)) = multiply(multiply(X3,multiply(multiply(X2,X1),double_divide(X4,X3))),X4) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1.2.1','L')]).
% 0.62/1.01 cnf('0.6.0.1',plain,
% 0.62/1.01 ( multiply(X2,X1) = multiply(multiply(X3,multiply(multiply(X2,X1),double_divide(X4,X3))),X4) ),
% 0.62/1.01 inference(reduction,[status(thm)],['0.6.0.0','0.2.2.0',theory(equality)]),
% 0.62/1.01 [pos('L','L')]).
% 0.62/1.01 cnf('0.6.1.0',plain,
% 0.62/1.01 ( multiply(X2,X1) = multiply(multiply(X3,multiply(multiply(X2,X1),double_divide(X4,X3))),X4) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.6.0.1']),
% 0.62/1.01 [weight('<179,4,2,[1,0,0,4]>')]).
% 0.62/1.01 cnf('0.6.2.0',plain,
% 0.62/1.01 ( multiply(multiply(X1,multiply(multiply(X2,X3),double_divide(X4,X1))),X4) = multiply(X2,X3) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_6]).
% 0.62/1.01 cnf('0.7.0.0',plain,
% 0.62/1.01 ( double_divide(multiply(inverse(X1),double_divide(double_divide(X2,X3),X4)),X4) = double_divide(X2,multiply(X3,inverse(X1))) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.2.2','L')]).
% 0.62/1.01 cnf('0.7.1.0',plain,
% 0.62/1.01 ( double_divide(multiply(inverse(X1),double_divide(double_divide(X2,X3),X4)),X4) = double_divide(X2,multiply(X3,inverse(X1))) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.62/1.01 [weight('<186,5,4,[1,0,0,4]>')]).
% 0.62/1.01 cnf('0.7.2.0',plain,
% 0.62/1.01 ( double_divide(multiply(inverse(X1),double_divide(double_divide(X2,X3),X4)),X4) = double_divide(X2,multiply(X3,inverse(X1))) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.62/1.01 [u,rule_7]).
% 0.62/1.01 cnf('0.8.0.0',plain,
% 0.62/1.01 ( multiply(X1,multiply(inverse(X2),double_divide(double_divide(X3,X4),X1))) = multiply(multiply(X4,inverse(X2)),X3) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1.2','L')]).
% 0.62/1.01 cnf('0.8.1.0',plain,
% 0.62/1.01 ( multiply(X1,multiply(inverse(X2),double_divide(double_divide(X3,X4),X1))) = multiply(multiply(X4,inverse(X2)),X3) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.62/1.01 [weight('<186,6,4,[1,0,0,3]>')]).
% 0.62/1.01 cnf('0.8.2.0',plain,
% 0.62/1.01 ( multiply(X1,multiply(inverse(X2),double_divide(double_divide(X3,X4),X1))) = multiply(multiply(X4,inverse(X2)),X3) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.62/1.01 [u,rule_8]).
% 0.62/1.01 cnf('0.9.0.0',plain,
% 0.62/1.01 ( X1 = double_divide(double_divide(X2,X3),multiply(multiply(X3,inverse(X1)),X2)) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.3.2.0','0.8.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.2','L')]).
% 0.62/1.01 cnf('0.9.1.0',plain,
% 0.62/1.01 ( X1 = double_divide(double_divide(X2,X3),multiply(multiply(X3,inverse(X1)),X2)) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.62/1.01 [weight('<131,8,3,[0,0,0,2]>')]).
% 0.62/1.01 cnf('0.9.2.0',plain,
% 0.62/1.01 ( double_divide(double_divide(X1,X2),multiply(multiply(X2,inverse(X3)),X1)) = X3 ),
% 0.62/1.01 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_9]).
% 0.62/1.01 cnf('0.10.0.0',plain,
% 0.62/1.01 ( inverse(X1) = multiply(multiply(multiply(X2,inverse(X1)),X3),double_divide(X3,X2)) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.4.2.0','0.8.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1','L')]).
% 0.62/1.01 cnf('0.10.1.0',plain,
% 0.62/1.01 ( inverse(X1) = multiply(multiply(multiply(X2,inverse(X1)),X3),double_divide(X3,X2)) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.62/1.01 [weight('<142,8,4,[0,0,0,1]>')]).
% 0.62/1.01 cnf('0.10.2.0',plain,
% 0.62/1.01 ( multiply(multiply(multiply(X1,inverse(X2)),X3),double_divide(X3,X1)) = inverse(X2) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_10]).
% 0.62/1.01 cnf('0.12.0.0',plain,
% 0.62/1.01 ( inverse(double_divide(X1,X2)) = multiply(multiply(multiply(X3,multiply(X2,X1)),X4),double_divide(X4,X3)) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.10.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1.1.2','L')]).
% 0.62/1.01 cnf('0.12.0.1',plain,
% 0.62/1.01 ( multiply(X2,X1) = multiply(multiply(multiply(X3,multiply(X2,X1)),X4),double_divide(X4,X3)) ),
% 0.62/1.01 inference(reduction,[status(thm)],['0.12.0.0','0.2.2.0',theory(equality)]),
% 0.62/1.01 [pos('L','L')]).
% 0.62/1.01 cnf('0.12.1.0',plain,
% 0.62/1.01 ( multiply(X2,X1) = multiply(multiply(multiply(X3,multiply(X2,X1)),X4),double_divide(X4,X3)) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.12.0.1']),
% 0.62/1.01 [weight('<179,10,2,[1,0,0,4]>')]).
% 0.62/1.01 cnf('0.12.2.0',plain,
% 0.62/1.01 ( multiply(multiply(multiply(X1,multiply(X2,X3)),X4),double_divide(X4,X1)) = multiply(X2,X3) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_12]).
% 0.62/1.01 cnf('0.13.0.0',plain,
% 0.62/1.01 ( X1 = double_divide(double_divide(double_divide(inverse(X1),X2),multiply(X2,inverse(X3))),inverse(X3)) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.2','L')]).
% 0.62/1.01 cnf('0.13.1.0',plain,
% 0.62/1.01 ( X1 = double_divide(double_divide(double_divide(inverse(X1),X2),multiply(X2,inverse(X3))),inverse(X3)) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.62/1.01 [weight('<181,10,9,[0,0,0,4]>')]).
% 0.62/1.01 cnf('0.13.2.0',plain,
% 0.62/1.01 ( double_divide(double_divide(double_divide(inverse(X1),X2),multiply(X2,inverse(X3))),inverse(X3)) = X1 ),
% 0.62/1.01 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_13]).
% 0.62/1.01 cnf('0.16.0.0',plain,
% 0.62/1.01 ( double_divide(X1,multiply(X2,inverse(X3))) = double_divide(multiply(inverse(X3),X4),multiply(multiply(X2,inverse(X4)),X1)) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.7.2.0','0.9.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1.2','L')]).
% 0.62/1.01 cnf('0.16.1.0',plain,
% 0.62/1.01 ( double_divide(X1,multiply(X2,inverse(X3))) = double_divide(multiply(inverse(X3),X4),multiply(multiply(X2,inverse(X4)),X1)) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.62/1.01 [weight('<215,9,7,[0,0,0,4]>')]).
% 0.62/1.01 cnf('0.16.2.0',plain,
% 0.62/1.01 ( double_divide(multiply(inverse(X1),X2),multiply(multiply(X3,inverse(X2)),X4)) = double_divide(X4,multiply(X3,inverse(X1))) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_16]).
% 0.62/1.01 cnf('0.18.0.0',plain,
% 0.62/1.01 ( multiply(X1,multiply(multiply(X2,X3),double_divide(double_divide(X4,X5),X1))) = multiply(multiply(X5,multiply(X2,X3)),X4) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.6.2.0','0.6.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1.2','L')]).
% 0.62/1.01 cnf('0.18.1.0',plain,
% 0.62/1.01 ( multiply(X1,multiply(multiply(X2,X3),double_divide(double_divide(X4,X5),X1))) = multiply(multiply(X5,multiply(X2,X3)),X4) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.62/1.01 [weight('<227,6,6,[0,0,0,3]>')]).
% 0.62/1.01 cnf('0.18.2.0',plain,
% 0.62/1.01 ( multiply(X1,multiply(multiply(X2,X3),double_divide(double_divide(X4,X5),X1))) = multiply(multiply(X5,multiply(X2,X3)),X4) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.62/1.01 [u,rule_18]).
% 0.62/1.01 cnf('0.21.0.0',plain,
% 0.62/1.01 ( X1 = double_divide(double_divide(double_divide(inverse(X1),X2),multiply(X2,multiply(X3,X4))),multiply(X3,X4)) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.9.2.0','0.12.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.2','L')]).
% 0.62/1.01 cnf('0.21.1.0',plain,
% 0.62/1.01 ( X1 = double_divide(double_divide(double_divide(inverse(X1),X2),multiply(X2,multiply(X3,X4))),multiply(X3,X4)) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.62/1.01 [weight('<239,12,9,[0,0,0,4]>')]).
% 0.62/1.01 cnf('0.21.2.0',plain,
% 0.62/1.01 ( double_divide(double_divide(double_divide(inverse(X1),X2),multiply(X2,multiply(X3,X4))),multiply(X3,X4)) = X1 ),
% 0.62/1.01 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_21]).
% 0.62/1.01 cnf('0.22.0.0',plain,
% 0.62/1.01 ( X1 = double_divide(X2,multiply(inverse(X2),double_divide(double_divide(inverse(X1),X3),X3))) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.21.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1','L')]).
% 0.62/1.01 cnf('0.22.1.0',plain,
% 0.62/1.01 ( X1 = double_divide(X2,multiply(inverse(X2),double_divide(double_divide(inverse(X1),X3),X3))) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.62/1.01 [weight('<155,21,3,[1,0,0,1]>')]).
% 0.62/1.01 cnf('0.22.2.0',plain,
% 0.62/1.01 ( double_divide(X1,multiply(inverse(X1),double_divide(double_divide(inverse(X2),X3),X3))) = X2 ),
% 0.62/1.01 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_22]).
% 0.62/1.01 cnf('0.23.0.0',plain,
% 0.62/1.01 ( multiply(multiply(inverse(X1),double_divide(double_divide(inverse(X2),X3),X3)),X1) = inverse(X2) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.2.2.0','0.22.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1','L')]).
% 0.62/1.01 cnf('0.23.1.0',plain,
% 0.62/1.01 ( multiply(multiply(inverse(X1),double_divide(double_divide(inverse(X2),X3),X3)),X1) = inverse(X2) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.62/1.01 [weight('<167,22,2,[0,0,0,1]>')]).
% 0.62/1.01 cnf('0.23.2.0',plain,
% 0.62/1.01 ( multiply(multiply(inverse(X1),double_divide(double_divide(inverse(X2),X3),X3)),X1) = inverse(X2) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.62/1.01 [u,rule_23]).
% 0.62/1.01 cnf('0.26.0.0',plain,
% 0.62/1.01 ( multiply(inverse(double_divide(X1,X2)),double_divide(double_divide(inverse(X3),X4),X4)) = multiply(multiply(X2,inverse(X3)),X1) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.6.2.0','0.23.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1.2','L')]).
% 0.62/1.01 cnf('0.26.0.1',plain,
% 0.62/1.01 ( multiply(multiply(X2,X1),double_divide(double_divide(inverse(X3),X4),X4)) = multiply(multiply(X2,inverse(X3)),X1) ),
% 0.62/1.01 inference(reduction,[status(thm)],['0.26.0.0','0.2.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1','L')]).
% 0.62/1.01 cnf('0.26.1.0',plain,
% 0.62/1.01 ( multiply(multiply(X2,X1),double_divide(double_divide(inverse(X3),X4),X4)) = multiply(multiply(X2,inverse(X3)),X1) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.26.0.1']),
% 0.62/1.01 [weight('<186,23,6,[0,0,0,3]>')]).
% 0.62/1.01 cnf('0.26.2.0',plain,
% 0.62/1.01 ( multiply(multiply(X1,X2),double_divide(double_divide(inverse(X3),X4),X4)) = multiply(multiply(X1,inverse(X3)),X2) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.62/1.01 [u,rule_26]).
% 0.62/1.01 cnf('0.28.0.0',plain,
% 0.62/1.01 ( multiply(multiply(X1,multiply(X2,X3)),inverse(X4)) = multiply(X1,multiply(multiply(X2,inverse(X4)),X3)) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.18.2.0','0.26.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.2','L')]).
% 0.62/1.01 cnf('0.28.1.0',plain,
% 0.62/1.01 ( multiply(multiply(X1,multiply(X2,X3)),inverse(X4)) = multiply(X1,multiply(multiply(X2,inverse(X4)),X3)) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.62/1.01 [weight('<152,26,18,[0,0,0,2]>')]).
% 0.62/1.01 cnf('0.28.2.0',plain,
% 0.62/1.01 ( multiply(multiply(X1,multiply(X2,X3)),inverse(X4)) = multiply(X1,multiply(multiply(X2,inverse(X4)),X3)) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.62/1.01 [u,rule_28]).
% 0.62/1.01 cnf('0.29.0.0',plain,
% 0.62/1.01 ( multiply(X1,multiply(multiply(multiply(X2,multiply(inverse(X3),double_divide(X4,X2))),inverse(X5)),X4)) = multiply(multiply(X1,inverse(X3)),inverse(X5)) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.28.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1.2','L')]).
% 0.62/1.01 cnf('0.29.0.1',plain,
% 0.62/1.01 ( multiply(X1,multiply(multiply(X2,multiply(multiply(inverse(X3),inverse(X5)),double_divide(X4,X2))),X4)) = multiply(multiply(X1,inverse(X3)),inverse(X5)) ),
% 0.62/1.01 inference(reduction,[status(thm)],['0.29.0.0','0.28.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.2.1','L')]).
% 0.62/1.01 cnf('0.29.0.2',plain,
% 0.62/1.01 ( multiply(X1,multiply(inverse(X3),inverse(X5))) = multiply(multiply(X1,inverse(X3)),inverse(X5)) ),
% 0.62/1.01 inference(reduction,[status(thm)],['0.29.0.1','0.6.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.2','L')]).
% 0.62/1.01 cnf('0.29.1.0',plain,
% 0.62/1.01 ( multiply(X1,multiply(inverse(X3),inverse(X5))) = multiply(multiply(X1,inverse(X3)),inverse(X5)) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.29.0.2']),
% 0.62/1.01 [weight('<119,28,4,[1,0,0,3]>')]).
% 0.62/1.01 cnf('0.29.2.0',plain,
% 0.62/1.01 ( multiply(multiply(X1,inverse(X2)),inverse(X3)) = multiply(X1,multiply(inverse(X2),inverse(X3))) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_29]).
% 0.62/1.01 cnf('0.34.0.0',plain,
% 0.62/1.01 ( X1 = double_divide(double_divide(inverse(X2),X3),multiply(X3,multiply(inverse(X1),inverse(X2)))) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.9.2.0','0.29.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.2','L')]).
% 0.62/1.01 cnf('0.34.1.0',plain,
% 0.62/1.01 ( X1 = double_divide(double_divide(inverse(X2),X3),multiply(X3,multiply(inverse(X1),inverse(X2)))) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.62/1.01 [weight('<181,29,9,[0,0,0,4]>')]).
% 0.62/1.01 cnf('0.34.2.0',plain,
% 0.62/1.01 ( double_divide(double_divide(inverse(X1),X2),multiply(X2,multiply(inverse(X3),inverse(X1)))) = X3 ),
% 0.62/1.01 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_34]).
% 0.62/1.01 cnf('0.35.0.0',plain,
% 0.62/1.01 ( X1 = double_divide(X2,multiply(inverse(X2),inverse(X1))) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.21.2.0','0.34.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1','L')]).
% 0.62/1.01 cnf('0.35.1.0',plain,
% 0.62/1.01 ( X1 = double_divide(X2,multiply(inverse(X2),inverse(X1))) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.62/1.01 [weight('<71,34,21,[0,0,0,1]>')]).
% 0.62/1.01 cnf('0.35.2.0',plain,
% 0.62/1.01 ( double_divide(X1,multiply(inverse(X1),inverse(X2))) = X2 ),
% 0.62/1.01 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_35]).
% 0.62/1.01 cnf('0.36.0.0',plain,
% 0.62/1.01 ( multiply(multiply(inverse(X1),inverse(X2)),X1) = inverse(X2) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.2.2.0','0.35.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1','L')]).
% 0.62/1.01 cnf('0.36.1.0',plain,
% 0.62/1.01 ( multiply(multiply(inverse(X1),inverse(X2)),X1) = inverse(X2) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.62/1.01 [weight('<79,35,2,[0,0,0,1]>')]).
% 0.62/1.01 cnf('0.36.2.0',plain,
% 0.62/1.01 ( multiply(multiply(inverse(X1),inverse(X2)),X1) = inverse(X2) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.62/1.01 [u,rule_36]).
% 0.62/1.01 cnf('0.37.0.0',plain,
% 0.62/1.01 ( X1 = double_divide(double_divide(X2,inverse(X2)),inverse(X1)) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.9.2.0','0.36.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.2','L')]).
% 0.62/1.01 cnf('0.37.1.0',plain,
% 0.62/1.01 ( X1 = double_divide(double_divide(X2,inverse(X2)),inverse(X1)) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.62/1.01 [weight('<71,36,9,[0,0,0,4]>')]).
% 0.62/1.01 cnf('0.37.2.0',plain,
% 0.62/1.01 ( double_divide(double_divide(X1,inverse(X1)),inverse(X2)) = X2 ),
% 0.62/1.01 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_37]).
% 0.62/1.01 cnf('0.38.0.0',plain,
% 0.62/1.01 ( double_divide(X1,multiply(inverse(X1),inverse(X2))) = double_divide(multiply(inverse(X2),X3),inverse(X3)) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.16.2.0','0.36.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.2','L')]).
% 0.62/1.01 cnf('0.38.0.1',plain,
% 0.62/1.01 ( X2 = double_divide(multiply(inverse(X2),X3),inverse(X3)) ),
% 0.62/1.01 inference(reduction,[status(thm)],['0.38.0.0','0.35.2.0',theory(equality)]),
% 0.62/1.01 [pos('L','L')]).
% 0.62/1.01 cnf('0.38.1.0',plain,
% 0.62/1.01 ( X2 = double_divide(multiply(inverse(X2),X3),inverse(X3)) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.38.0.1']),
% 0.62/1.01 [weight('<71,36,16,[0,0,0,5]>')]).
% 0.62/1.01 cnf('0.38.2.0',plain,
% 0.62/1.01 ( double_divide(multiply(inverse(X1),X2),inverse(X2)) = X1 ),
% 0.62/1.01 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_38]).
% 0.62/1.01 cnf('0.39.0.0',plain,
% 0.62/1.01 ( inverse(X1) = multiply(inverse(X1),double_divide(X2,inverse(X2))) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.10.2.0','0.36.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1','L')]).
% 0.62/1.01 cnf('0.39.1.0',plain,
% 0.62/1.01 ( inverse(X1) = multiply(inverse(X1),double_divide(X2,inverse(X2))) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.62/1.01 [weight('<79,36,10,[0,0,0,1]>')]).
% 0.62/1.01 cnf('0.39.2.0',plain,
% 0.62/1.01 ( multiply(inverse(X1),double_divide(X2,inverse(X2))) = inverse(X1) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_39]).
% 0.62/1.01 cnf('0.40.0.0',plain,
% 0.62/1.01 ( X1 = double_divide(inverse(X1),inverse(double_divide(X2,inverse(X2)))) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.38.2.0','0.39.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1','L')]).
% 0.62/1.01 cnf('0.40.0.1',plain,
% 0.62/1.01 ( X1 = double_divide(inverse(X1),multiply(inverse(X2),X2)) ),
% 0.62/1.01 inference(reduction,[status(thm)],['0.40.0.0','0.2.2.0',theory(equality)]),
% 0.62/1.01 [pos('R.2','L')]).
% 0.62/1.01 cnf('0.40.1.0',plain,
% 0.62/1.01 ( X1 = double_divide(inverse(X1),multiply(inverse(X2),X2)) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.40.0.1']),
% 0.62/1.01 [weight('<71,39,38,[0,0,0,1]>')]).
% 0.62/1.01 cnf('0.40.2.0',plain,
% 0.62/1.01 ( double_divide(inverse(X1),multiply(inverse(X2),X2)) = X1 ),
% 0.62/1.01 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_40]).
% 0.62/1.01 cnf('0.42.0.0',plain,
% 0.62/1.01 ( multiply(multiply(inverse(X1),X1),inverse(X2)) = inverse(X2) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.2.2.0','0.40.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1','L')]).
% 0.62/1.01 cnf('0.42.1.0',plain,
% 0.62/1.01 ( multiply(multiply(inverse(X1),X1),inverse(X2)) = inverse(X2) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.42.0.0']),
% 0.62/1.01 [weight('<79,40,2,[0,0,0,1]>')]).
% 0.62/1.01 cnf('0.42.2.0',plain,
% 0.62/1.01 ( multiply(multiply(inverse(X1),X1),inverse(X2)) = inverse(X2) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.62/1.01 [u,rule_42]).
% 0.62/1.01 cnf('0.43.0.0',plain,
% 0.62/1.01 ( X1 = double_divide(double_divide(double_divide(inverse(X1),multiply(inverse(X2),X2)),inverse(X3)),inverse(X3)) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.13.2.0','0.42.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1.2','L')]).
% 0.62/1.01 cnf('0.43.0.1',plain,
% 0.62/1.01 ( X1 = double_divide(double_divide(X1,inverse(X3)),inverse(X3)) ),
% 0.62/1.01 inference(reduction,[status(thm)],['0.43.0.0','0.40.2.0',theory(equality)]),
% 0.62/1.01 [pos('R.1.1','L')]).
% 0.62/1.01 cnf('0.43.1.0',plain,
% 0.62/1.01 ( X1 = double_divide(double_divide(X1,inverse(X3)),inverse(X3)) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.43.0.1']),
% 0.62/1.01 [weight('<71,42,13,[0,0,0,6]>')]).
% 0.62/1.01 cnf('0.43.2.0',plain,
% 0.62/1.01 ( double_divide(double_divide(X1,inverse(X2)),inverse(X2)) = X1 ),
% 0.62/1.01 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_43]).
% 0.62/1.01 cnf('0.44.0.0',plain,
% 0.62/1.01 ( multiply(inverse(X1),X2) = double_divide(X1,inverse(X2)) ),
% 0.62/1.01 inference(cp,[status(thm)],['0.43.2.0','0.38.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1','L')]).
% 0.62/1.01 cnf('0.44.1.0',plain,
% 0.62/1.01 ( multiply(inverse(X1),X2) = double_divide(X1,inverse(X2)) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.62/1.01 [weight('<44,43,38,[1,0,0,1]>')]).
% 0.62/1.01 cnf('0.44.2.0',plain,
% 0.62/1.01 ( double_divide(X1,inverse(X2)) = multiply(inverse(X1),X2) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_44]).
% 0.62/1.01 cnf('0.45.0.0',plain,
% 0.62/1.01 ( double_divide(double_divide(X1,inverse(X1)),inverse(X2)) = X2 ),
% 0.62/1.01 inference(interreduction_right,[status(thm)],['0.37.2.0'])).
% 0.62/1.01 cnf('0.45.0.1',plain,
% 0.62/1.01 ( multiply(inverse(double_divide(X1,inverse(X1))),X2) = X2 ),
% 0.62/1.01 inference(reduction,[status(thm)],['0.45.0.0','0.44.2.0',theory(equality)]),
% 0.62/1.01 [pos('L','L')]).
% 0.62/1.01 cnf('0.45.0.2',plain,
% 0.62/1.01 ( multiply(multiply(inverse(X1),X1),X2) = X2 ),
% 0.62/1.01 inference(reduction,[status(thm)],['0.45.0.1','0.2.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1','L')]).
% 0.62/1.01 cnf('0.45.1.0',plain,
% 0.62/1.01 ( multiply(multiply(inverse(X1),X1),X2) = X2 ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.45.0.2']),
% 0.62/1.01 [weight('<55,37,44,[0,0,0,0]>')]).
% 0.62/1.01 cnf('0.45.2.0',plain,
% 0.62/1.01 ( multiply(multiply(inverse(X1),X1),X2) = X2 ),
% 0.62/1.01 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.62/1.01 [u,rule_45]).
% 0.62/1.01 cnf('1.0.0.0',conjecture,
% 0.62/1.01 ( multiply(multiply(inverse(b2),b2),a2) = a2 ),
% 0.62/1.01 file('/tmp/WALDMEISTER_28231_n028',conjecture_1)).
% 0.62/1.01 cnf('1.0.0.1',plain,
% 0.62/1.01 ( a2 = a2 ),
% 0.62/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.45.2.0',theory(equality)]),
% 0.62/1.01 [pos('L','L')]).
% 0.62/1.01 cnf('1.0.0.2',plain,
% 0.62/1.01 ( $true ),
% 0.62/1.01 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.62/1.01 [conjecture_1]).
% 0.62/1.01
% 0.62/1.01 Proved Goals:
% 0.62/1.01 No. 1: multiply(multiply(inverse(b2),b2),a2) ?= a2 joined, current: a2 = a2
% 0.62/1.01 1 goal was specified, which was proved.
% 0.62/1.01 % SZS output end CNFRefutation
% 0.62/1.01 #END OF PROOF
% 0.62/1.01
% 0.62/1.01 Problem WALDMEISTER_28231_n028
% 0.62/1.01 CPs.gen 1173
% 0.62/1.01 CPs.reexp 0
% 0.62/1.01 Select 69
% 0.62/1.01 R 45
% 0.62/1.01 E 0
% 0.62/1.01 vsize 6.4M
% 0.62/1.01 rss 3.8M
% 0.62/1.01 process.time 0.009s
% 0.62/1.01 wallclock.time 0.009s
% 0.62/1.01 status S
% 0.62/1.01
% 0.62/1.01
% 0.62/1.01 Waldmeister states: Goal proved.
% 0.62/1.01 % SZS status Unsatisfiable
%------------------------------------------------------------------------------